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Finding the Third Proportional to 39,714.75 and 85,187.25

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Solution

The third proportional to 39,714.75 and 85,187.25 is: 182,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714.75 : 85,187.25 = 85,187.25 : x
  2. Step 2: Convert to fraction form
    39,714.75/85,187.25 = 85,187.25/x
  3. Step 3: Cross multiply
    39,714.75x = 85,187.25 × 85,187.25
  4. Step 4: Simplify right side
    39,714.75x = 7,256,867,562.56
  5. Step 5: Solve for x
    x = 7,256,867,562.56/39,714.75
  6. Step 6: Final answer
    x = 182,724.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.